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(12)
Perimeter of rectangle:- 56 m
difference b/w it's length and breadth:- 12 m
Now,
Let length of rectangle is x m
and breadth of rectangle is y m
As/que
x-y :- 12 m (1)
and,
2(x+y) :- 56 m
(x+y) :- 28 m (2)
Adding eqn (1) & (2)
(x-y) + (x+y) = (12+28)m
x-y+x+y = 40 m
2x = 40 m
x = 20 m
Now,
Length :- 20 m
Breadth :- (20-12)m
Breadth :- 8 m
Area of rectangle = l×b
= (20×8)m
= 160 m
(13)
let length of original rect. :- x m
and breadth :- y m
then,
area of original rect. :- (xy)sq.m
Now,
length of new rect. :- (3x)m
and breadth :- (3y)m
then,
area of new rect. :-
(9xy)sq.m
Now,
ratio of areas of original rect. to new rect. is given by
= area of original rect./area of new rect.
= (xy)sq.m/(9xy)sq.m
= (1/9)
= (1:9)
(14).
length :- 25 m
breadth :- 18 m
Now,
= breadth of both path :- 3m
= length of path parallel to length of rectangular field :- (25-3)m
:- 22 m
= length of path parallel to breadth of rectangular field :- (18-3)m
:- 15 m
= area of both path :- [(22×3)+(15×3)+(3×3)]sq.m
= (66+45+9)sq.m
= (120)sq.m
Now,
= rate of paving the path is Rs 12/sq.m
= total cost of paving of path :- Rs(12×120)
:- Rs 1440
Perimeter of rectangle:- 56 m
difference b/w it's length and breadth:- 12 m
Now,
Let length of rectangle is x m
and breadth of rectangle is y m
As/que
x-y :- 12 m (1)
and,
2(x+y) :- 56 m
(x+y) :- 28 m (2)
Adding eqn (1) & (2)
(x-y) + (x+y) = (12+28)m
x-y+x+y = 40 m
2x = 40 m
x = 20 m
Now,
Length :- 20 m
Breadth :- (20-12)m
Breadth :- 8 m
Area of rectangle = l×b
= (20×8)m
= 160 m
(13)
let length of original rect. :- x m
and breadth :- y m
then,
area of original rect. :- (xy)sq.m
Now,
length of new rect. :- (3x)m
and breadth :- (3y)m
then,
area of new rect. :-
(9xy)sq.m
Now,
ratio of areas of original rect. to new rect. is given by
= area of original rect./area of new rect.
= (xy)sq.m/(9xy)sq.m
= (1/9)
= (1:9)
(14).
length :- 25 m
breadth :- 18 m
Now,
= breadth of both path :- 3m
= length of path parallel to length of rectangular field :- (25-3)m
:- 22 m
= length of path parallel to breadth of rectangular field :- (18-3)m
:- 15 m
= area of both path :- [(22×3)+(15×3)+(3×3)]sq.m
= (66+45+9)sq.m
= (120)sq.m
Now,
= rate of paving the path is Rs 12/sq.m
= total cost of paving of path :- Rs(12×120)
:- Rs 1440
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